DOI: 10.1038/nmat749. Interface pattern formation in nonlinear dissipative systems

Interface pattern formation in nonlinear dissipative systems

10.1038/nmat749

Crossref journal-article

Springer Science and Business Media LLC

Nature Materials (297)

Bibliography

Trivedi, R., Liu, S., & Williams, S. (2002). Interface pattern formation in nonlinear dissipative systems. Nature Materials, 1(3), 157â159.

Authors 3

Rohit Trivedi (first)
Shan Liu (additional)
Scott Williams (additional)

References 19 Referenced 31

Saffman, P.G. & Taylor, G.I. The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid. Proc. R. Soc. Lond. A 245, 312–329 (1958). (10.1098/rspa.1958.0085) / Proc. R. Soc. Lond. A by PG Saffman (1958)
Pelce, P. Dynamics of Curved Fronts (Academic, Oxford, 1988)
Kessler, D., Koplik, J. & Levine, H. Pattern selection in fingered growth phenomena. Adv. Phys. 37(3), 255–339 (1988). (10.1080/00018738800101379) / Adv. Phys. by D Kessler (1988)
Langer, J.S. in Chance and Matter (ed. Souleite, J.) (North Holland, Amsterdam, 1987). / Chance and Matter by JS Langer (1987)
Thomson, D.W. On Growth and Form (Cambridge Univ. Press, 1942).
Britten, J.A., Krantz W.B., Visser, W. & Gunn, R.D. Theoretical and Experimental Studies of Reverse Combustion (Internal report, Univ.of Colorado, Boulder, 1985). / Theoretical and Experimental Studies of Reverse Combustion by JA Britten (1985)
Couder, Y, Argoul, F, Arnéodi, A., Maurer, J. & Ribaud, M. Statistical properties of the fractal dendrites and anisotropic diffusion-limited aggregates. Phys. Rev. A 42, 3499–3503 (1990). (10.1103/PhysRevA.42.3499) / Phys. Rev. A by Y Couder (1990)
Arneodo, A., Argoul, F., Couder, Y. & Ribaud, M. Anisotropic Laplacian growths: from diffusion-limited aggregates to dendrite fractals. Phys. Rev. Lett. 66, 2332–2335 (1991). (10.1103/PhysRevLett.66.2332) / Phys. Rev. Lett. by A Arneodo (1991)
Somboonsuk, K., Mason, J.T. & Trivedi, R. Interdendritic spacing: Part 1. Experimental studies. Metall. Trans. 15A, 967–975 (1984). (10.1007/BF02644688) / Metall. Trans. by K Somboonsuk (1984)
Pelcé, P. & Pumir, A. Cell shape in directional solidification in the small Peclet number limit. J. Cryst. Growth 73, 337–341 (1985). (10.1016/0022-0248(85)90310-0) / J. Cryst. Growth by P Pelcé (1985)
Billia, B., Jamgotchian, H. & Capella, L. Pattern formation during directional solidification. J. Cryst. Growth, 82, 747–756 (1987). (10.1016/S0022-0248(87)80021-0) / J. Cryst. Growth by B Billia (1987)
Billia, B. & Trivedi, R. Pattern formation in crystal growth. In Handbook of Crystal Growth (2b), 993 (North Holland, Amsterdam, 1995). / Handbook of Crystal Growth by B Billia (1995)
Weeks, J.D., Van Sarloos, W. & Grant, M. Stability and shapes of cellular profiles in directional solidification: expansion and matching methods. J. Cryst. Growth 112, 244–282 (1991). (10.1016/0022-0248(91)90928-X) / J. Cryst. Growth by JD Weeks (1991)
Karma, A. & Pelce, P. Stability of an array of deep cells in directional solidification. Phys Rev A, 41, 6741–6748 (1990). (10.1103/PhysRevA.41.6741) / Phys Rev A by A Karma (1990)
Dombre, T. & Hakim, V. Saffman–Taylor fingers and directional solidification at low velocity. Phys. Rev. A 36(6), 2811–2817 (1987). (10.1103/PhysRevA.36.2811) / Phys. Rev. A by T Dombre (1987)
Trivedi, R., Shen, Y. & Liu, S. A unique correlation among cellular microstructural length scales in directionally solidified binary systems. In Proc. Int. Conf. Advances in Materials and Materials Processing (ed. Chakraborty, N. & Chatterjee, U.) 42–49 (Tata McGraw-Hill, 2001). / Proc. Int. Conf. Advances in Materials and Materials Processing by R Trivedi (2001)
Levine, H. & Tu, Y. Mean-field diffusion-limited aggregation and the Saffman–Taylor problem in three dimensions. Phys. Rev. A 45(2), 1044–1052 (1992). (10.1103/PhysRevA.45.1044) / Phys. Rev. A by H Levine (1992)
Brener, E. Non-axisymmetric patterns in the Saffman–Taylor problem and in the three dimension directional solidification at low velocity. Phys. Rev. E 48, 4437–4443 (1993). (10.1103/PhysRevE.48.4437) / Phys. Rev. E by E Brener (1993)
Scheil, E. Bemerkungen zur Schichtkristasllbildung. Z. Metallkunde 34, 70–72 (1942). / Z. Metallkunde by E Scheil (1942)

Dates

Type	When
Created	22 years, 9 months ago (Nov. 14, 2002, 3:02 p.m.)
Deposited	3 years, 1 month ago (July 6, 2022, 4:15 p.m.)
Indexed	1 year, 6 months ago (Feb. 1, 2024, 12:24 p.m.)
Issued	22 years, 10 months ago (Oct. 13, 2002)
Published	22 years, 10 months ago (Oct. 13, 2002)
Published Online	22 years, 10 months ago (Oct. 13, 2002)
Published Print	22 years, 9 months ago (Nov. 1, 2002)

Funders 0

None

BibTeX

@article{Trivedi_2002, title={Interface pattern formation in nonlinear dissipative systems}, volume={1}, ISSN={1476-4660}, url={http://dx.doi.org/10.1038/nmat749}, DOI={10.1038/nmat749}, number={3}, journal={Nature Materials}, publisher={Springer Science and Business Media LLC}, author={Trivedi, Rohit and Liu, Shan and Williams, Scott}, year={2002}, month=oct, pages={157–159} }

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